Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
<u>A positive number is 7 times another number:</u>
<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>
<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>
- 7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
- 14b + 6 = 5b + 15 ⇒ collecting like terms
- 14b - 5b = 15 - 6
- 9b = 9
- b = 1 ⇒ solved for b
<u>Then, finding a:</u>
- a= 7b
- a=7*1
- a= 7 ⇒ solved for a
<u>So the numbers are</u> 7 and 1
Answer:
Number of cookies sold by the Yummy Company = 32.
Step-by-step explanation:
Let the number of cookies sold by the yummy company be x.
Then the number of pies sold by The Chipper Bakery is 3/4 x.
When they have 16, more we have:
Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)
So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)
= 7/4 x + 32 = 11/6 x + 16 + 80/6
7/4 x - 11/6x = 16 + 80/6 - 32
-1/12 x = -2 2/3
x = -8/3 * -12
x = 32.
Answer:
yes
Step-by-step explanation:
because it will be easier if the they are like terms
Answer:
The areas are equal.
Step-by-step explanation:
Let the first rectangle be R and
the second rectangle be R'.
Sine R and R' are identical, their lengths are equal and their breadths are equal.
So, if Inga divided each into equal parts, then each part of both rectangles are equal.
Hence, the colored parts of both rectangles are equal.
Answer:
x = -1.5625
Step-by-step explanation:
Solve for x:
-8 x - 12.5 = 0
Add 12.5` to both sides:
(12.5 - 12.5) - 8 x = 12.5
12.5 - 12.5 = 0:
-8 x = 12.5
Divide both sides of -8 x = 12.5 by -8:
(-8 x)/(-8) = 12.5/(-8)
(-8)/(-8) = 1:
x = 12.5/(-8)
12.5/(-8) = -1.5625:
Answer: x = -1.5625
